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1.21x^2=2.2x-1
We move all terms to the left:
1.21x^2-(2.2x-1)=0
We get rid of parentheses
1.21x^2-2.2x+1=0
a = 1.21; b = -2.2; c = +1;
Δ = b2-4ac
Δ = -2.22-4·1.21·1
Δ = 8.881784197E-16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.2)-\sqrt{8.881784197E-16}}{2*1.21}=\frac{2.2-\sqrt{8.881784197E-16}}{2.42} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.2)+\sqrt{8.881784197E-16}}{2*1.21}=\frac{2.2+\sqrt{8.881784197E-16}}{2.42} $
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